What is the cube root of 24?

The cube root of 24 is 2cbrt3. In decimal: cbrt(24) approximately 2.8844991406 This is irrational. cbrt(24) = 2*cbrt(3) approx 2.88450. Simplifies because 24 = 8 x 3 and cbrt(8) = 2.

Is 24 a perfect cube?

No. 24 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 24 falls between these, cbrt(24) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(24) cubed?

(cbrt(24))^3 = 24. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(24))^3 = 24 always.

How is cube root different from square root?

Square root: sqrt(24) approximately 4.898979. Cube root: cbrt(24) approximately 2.884499. Key differences: - Cube roots exist for negative numbers: cbrt(-8) = -2. Square roots of negatives are imaginary. - Cube roots grow more slowly than square roots. - Perfect cubes are rarer than perfect squares.

What are the perfect cubes from 1 to 30?

Only three: 1 (= 1^3), 8 (= 2^3), and 27 (= 3^3). 24 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 24 — cbrt(24) = 2cbrt3

The cube root of 24 is 2cbrt3. In decimal, cbrt(24) is approximately 2.884499 (irrational — the decimal never ends or repeats). This page shows the exact value, simplified radical form, decimal to 20 decimal places, step-by-step working, and a 3D cube visualisation....

∛24 = ?

CUBE ROOT OF 24

2∛3

≈ 2.8844991406

Irrational — decimal never ends or repeats

Exact form

2∛3

Decimal (6dp)

2.884499

Decimal (10dp)

2.8844991406

Is perfect cube?

(∛24)³

24 ✓

Between

2 and 3

DECIMAL PRECISION

∛24 ≈ 2.8844991406

STEP-BY-STEP

Prime factorisation: 24 = 2 × 2 × 2 × 3

Extract perfect cube factor: ∛24 = ∛(8 × 3) = 2∛3

2³ = 8 < 24 < 27 = 3³ → ∛24 between 2 and 3

∛24 ≈ 2.8844991406

FUN FACT

cbrt(24) = 2*cbrt(3) approx 2.88450. Simplifies because 24 = 8 x 3 and cbrt(8) = 2.

NUMBER LINE (∛24 ≈ 2.8845)

∛24

CUBE WITH VOLUME = 24

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛24 × ∛24 × ∛24= 24

(∛24)³= 24

∛(24 × 8)= 2∛24 ≈ 5.7690

∛(24 / 8)= ∛24/2 ≈ 1.4422

∛24 × ∛25≈ 8.4343

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HOW TO CALCULATE

1
Find the prime factorisation of 24: 24 = 2 x 2 x 2 x 3. Look for any prime appearing 3+ times.
2
Extract the perfect cube factor: cbrt(24) = cbrt(8 x 3) = 2 x cbrt(3) = 2cbrt3.
3
Locate cbrt(24) between integers: 2^3 = 8 < 24 < 27 = 3^3. So cbrt(24) is between 2 and 3.
4
Decimal: cbrt(24) approximately 2.8844991406. Verify: (2.884499)^3 approximately 24.

WORKED EXAMPLE

cbrt(24): not a perfect cube. Factorisation: 24 = 2 x 2 x 2 x 3. Simplified: 2cbrt3. Decimal: cbrt(24) approximately 2.8844991406.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛16 ∛17 ∛18 ∛19 ∛20 ∛21 ∛22 ∛23 ∛25 ∛26 ∛27 ∛28 ∛29 ∛30

Bold bordered = perfect cubes (∛1=1, ∛8=2, ∛27=3)

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.